The One-Dimensional Heat Equation
eBook - PDF

The One-Dimensional Heat Equation

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

The One-Dimensional Heat Equation

About this book

This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.

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Yes, you can access The One-Dimensional Heat Equation by John Rozier Cannon in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title
  5. Copyright
  6. Dedication
  7. Contents
  8. Editor's Statement
  9. Foreword
  10. Preface
  11. Chapter 0 Preliminaries
  12. Chapter 1 Introduction
  13. Chapter 2 The Cauchy Problem
  14. Chapter 3 The Initial-Value Problem
  15. Chapter 4 The Initial-Boundary-Value Problem for the Quarter Plane with Temperature-Boundary Specification
  16. Chapter 5 The Initial-Boundary-Value Problem for the Quarter Plane with Heat-Flux-Boundary Specification
  17. Chapter 6 The Initial-Boundary-Value Problem for the Semi-Infinite Strip with Temperature-Boundary Specification and Heat-Flux-Boundary Specification
  18. Chapter 7 The Reduction of Some Initial-Boundary-Value Problems for the Semi-Infinite Strip, to Integral Equations: Some Exercises
  19. Chapter 8 Integral Equations
  20. Chapter 9 Solutions of Boundary-Value Problems for All Times and Periodic Solutions
  21. Chapter 10 Analyticity of Solutions
  22. Chapter 11 Continuous Dependence upon the Data for Some State-Estimation Problems
  23. Chapter 12 Some Numerical Methods for Some State-Estimation Problems
  24. Chapter 13 Determination of an Unknown Time-Dependent Diffusivity a( t) from Overspecified Data
  25. Chapter 14 Initial- and/or Boundary-Value Problems for General Regions with Holder Continuous Boundaries
  26. Chapter 15 Some Properties of Solutions in General Domains
  27. Chapter 16 The Solution in a General Region with Temperature-Boundary Specification: The Method of Perron-Poincare
  28. Chapter 17 The One-Phase Stefan Problem with Temperature-Boundary Specification
  29. Chapter 18 The One-Phase Stefan Problem with Flux-Boundary Specification: Some Exercises
  30. Chapter 19 The Inhomogeneous Heat Equation ut = uxx + f( x, t)
  31. Chapter 20 An Application of the Inhomogeneous Heat Equation: The Equation ut = uxx + F(x, t, u, ux )
  32. Some References to the Literature on 9'(u) == uxx – ut
  33. Symbol Index
  34. Subject Index